1. a) Find the general solution of the equation

b) Use the method of undetermined coefficients to find a particular solution of the equation

c) Find the solution of the equation in part b which satisfies the initial condition

2. Find the general solution of the equation

Hint: A substitution may help with integrals that will arise.

3. A mass of 10 g stretches a spring by 5 cm in equilibrium.

a) Find the spring constant and the equation governing the motion of the mass (use ), assuming there is no damping in the system.

b) The mass spring system above is forced with the force

where the force is measured in gcm/sec. At , the motion starts from the equilibrium position with zero velocity. Find the motion of the mass for .

Answers:

1. a) .

b) .

c)
.

2.
.

3.a) g/sec.

b)